Now showing items 1-16 of 16

    • On stability of interval matrices 

      Sezer, M. E.; Siljak, D. D. (Institute of Electrical and Electronics Engineers, 1994-02)
      New sufficient, and sometimes necessary and sufficient conditions, are obtained for Schur- and Hurwitz-stability of interval matrices by relying on the concept of connective stability and M-matrices. The necessity part is ...
    • On the Delay Margin for Consensus in Directed Networks of Anticipatory Agents 

      Irofti D.; Atay, F. M. (Elsevier B.V., 2016)
      We consider a linear consensus problem involving a time delay that arises from predicting the future states of agents based on their past history. In case the agents are coupled in a connected and undirected network, the ...
    • PID controller design for fractional-order systems with time delays 

      Özbay, H.; Bonnet, C.; Fioravanti, A.R. (Elsevier, 2011-11-22)
      Classical proper PID controllers are designed for linear time invariant plants whose transfer functions are rational functions of sα, where 0<α<1, and s is the Laplace transform variable. Effect of inputoutput time ...
    • SOS methods for stability analysis of neutral differential Ssystems 

      Peet, M.M.; Bonnet, C.; Özbay H. (2009)
      This paper gives a description of how "sum-of-squares" (SOS) techniques can be used to check frequency-domain conditions for the stability of neutral differential systems. For delay-dependent stability, we adapt an approach ...
    • Stability analysis of a dynamical model representing gene regulatory networks 

      Ahsen, M. E.; Özbay, Hitay; Niculescu, S. I. (2012)
      In this paper we perform stability analysis of a class of cyclic biological processes involving time delayed feedback. More precisely, we analyze the genetic regulatory network having nonlinearities with negative Schwarzian ...
    • Stability analysis of cell dynamics in leukemia 

      Özbay, H.; Bonnet, C.; Benjelloun, H.; Clairambault, J. (E D P Sciences, 2012)
      In order to better understand the dynamics of acute leukemia, and in particular to find theoretical conditions for the efficient delivery of drugs in acute myeloblastic leukemia, we investigate stability of a system modeling ...
    • Stability analysis of human–adaptive controller interactions 

      Yucelen, T.; Yildiz, Y.; Sipahi, R.; Yousefi, E.; Nguyen, N. (American Institute of Aeronautics and Astronautics Inc, AIAA, 2017)
      In this paper, stability of human in the loop model reference adaptive control architectures is analyzed. For a general class of linear human models with time-delay, a fundamental stability limit of these architectures is ...
    • Stability analysis of switched systems using Lyapunov-Krasovskii functionals 

      Çalişkan, S.Y.; Özbay H.; Niculescu, S.-I. (2011)
      Piecewise Lyapunov-Razumikhin functions are previously used for obtaining a lower bound for the dwell time of the switched time delay systems under the assumption that each candidate system is delay dependently stable. In ...
    • Stability analysis of switched systems with time-varying discontinuous delays 

      Mazenc, F.; Malisoff, M.; Özbay, H. (Institute of Electrical and Electronics Engineers Inc., 2017)
      A new technique is proposed to ensure global asymptotic stability for nonlinear switched time-varying systems with time-varying discontinuous delays. It uses an adaptation of Halanay's inequality to switched systems and a ...
    • Stability analysis of switched time-delay systems 

      Yan, P.; Özbay, H. (2008)
      This paper addresses the asymptotic stability of switched time delay systems with heterogenous time invariant time delays. Piecewise Lyapunov-Razumikhin functions are introduced for the switching candidate systems to ...
    • Stability Analysis of systems with distributed delays and application to hematopoietic cell maturation dynamics 

      Özbay, H.; Bonnet, C.; Clairambault, J. (2008)
      We consider linear systems with distributed delays where delay kernels are assumed to be finite duration impulse responses of finite dimensional systems. We show that stability analysis for this class of systems can be ...
    • Stability analysis of the heat equation with time-delayed feedback 

      Çalişkan, S.Y.; Özbay H. (2009)
      In this paper we consider the heat equation with time delayed feedback. Recently, stability analysis of this system, with possibly time-varying delay, is done by Fridman and Orlov (2007, 2009); and a sufficient condition ...
    • Stability of delayed feedback controllers for discrete time systems 

      Morgül ,Ö. (Institute of Electrical and Electronics Engineers Inc., 2003)
      We consider the delayed feedback control (DFC) scheme for one dimensional discrete time systems. To analyze the stability, we construct a map whose fixed points correspond to the periodic orbits of the system to be controlled. ...
    • Stability of planar piecewise linear systems :a geometric approach 

      Abdullahi, Adamu (Bilkent University, 2015-09)
      This thesis focuses on the stability analysis of piecewise linear systems. Such systems consist of linear subsystems, each of which is active in a particular region of the state-space. Many practical and theoretical ...
    • Stability of third order conewise linear systems 

      Zakwan, Muhammad (Bilkent University, 2019-08)
      A conewise linear, time-invariant system is a piecewise linear system in which the state-space is a union of polyhedral cones. Each cone has its own dynamics so that a multi-modal system results. We focus our attention ...
    • Switched PD-like controllers for first order unstable systems with time delay 

      Arslan, G. E.; Özbay, H. (2009)
      A new method is proposed for the design of PD-like (first order stable) controllers for switched first order unstable systems with time delays. For this purpose, a dwell-time based stability condition of Yan and Özbay ...